368483400 has 144 divisors (see below), whose sum is σ = 1267926660. Its totient is φ = 95846400.

The previous prime is 368483393. The next prime is 368483411. The reversal of 368483400 is 4384863.

It can be written as a sum of positive squares in 6 ways, for example, as 28965924 + 339517476 = 5382^2 + 18426^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 71304 + ... + 76296.

Almost surely, 2^368483400 is an apocalyptic number.

368483400 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 368483400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (633963330).

368483400 is an abundant number, since it is smaller than the sum of its proper divisors (899443260).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

368483400 is a wasteful number, since it uses less digits than its factorization.

368483400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5056 (or 5044 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The square root of 368483400 is about 19195.9214418063. The cubic root of 368483400 is about 716.9232132424.

The spelling of 368483400 in words is "three hundred sixty-eight million, four hundred eighty-three thousand, four hundred".